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Simplifying (9 + -1y8)(9 + y8) = 0 Multiply (9 + -1y8) * (9 + y8) (9(9 + y8) + -1y8 * (9 + y8)) = 0 ((9 * 9 + y8 * 9) + -1y8 * (9 + y8)) = 0 ((81 + 9y8) + -1y8 * (9 + y8)) = 0 (81 + 9y8 + (9 * -1y8 + y8 * -1y8)) = 0 (81 + 9y8 + (-9y8 + -1y16)) = 0 Combine like terms: 9y8 + -9y8 = 0 (81 + 0 + -1y16) = 0 (81 + -1y16) = 0 Solving 81 + -1y16 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -1y16 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1y16 = 0 + -81 -1y16 = 0 + -81 Combine like terms: 0 + -81 = -81 -1y16 = -81 Divide each side by '-1'. y16 = 81 Simplifying y16 = 81 Reorder the terms: -81 + y16 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + y16 = 0 Factor a difference between two squares. (9 + y8)(-9 + y8) = 0 Factor a difference between two squares. (9 + y8)((3 + y4)(-3 + y4)) = 0Subproblem 1
Set the factor '(9 + y8)' equal to zero and attempt to solve: Simplifying 9 + y8 = 0 Solving 9 + y8 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y8 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y8 = 0 + -9 y8 = 0 + -9 Combine like terms: 0 + -9 = -9 y8 = -9 Simplifying y8 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + y4)' equal to zero and attempt to solve: Simplifying 3 + y4 = 0 Solving 3 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y4 = 0 + -3 y4 = 0 + -3 Combine like terms: 0 + -3 = -3 y4 = -3 Simplifying y4 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-3 + y4)' equal to zero and attempt to solve: Simplifying -3 + y4 = 0 Solving -3 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y4 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y4 = 0 + 3 y4 = 0 + 3 Combine like terms: 0 + 3 = 3 y4 = 3 Simplifying y4 = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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